Solve 7x^2 6x-1 - ScanMath

Question

Simplify the expression

42 x^{3} - 1

Evaluate

7 x^{2} \times 6 x - 1

Solution

More Steps

Evaluate

7 x^{2} \times 6 x

Multiply the terms

42 x^{2} \times x

Multiply the terms with the same base by adding their exponents

42 x^{2 + 1}

Add the numbers

42 x^{3}

42 x^{3} - 1

Show Solution

x = \frac{3 1764}{42}

Alternative Form

x \approx 0.287685

Evaluate

7 x^{2} \times 6 x - 1

To find the roots of the expression,set the expression equal to 0

7 x^{2} \times 6 x - 1 = 0

Multiply

More Steps

Multiply the terms

7 x^{2} \times 6 x

Multiply the terms

42 x^{2} \times x

Multiply the terms with the same base by adding their exponents

42 x^{2 + 1}

Add the numbers

42 x^{3}

42 x^{3} - 1 = 0

Move the constant to the right-hand side and change its sign

42 x^{3} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

42 x^{3} = 1

Divide both sides

\frac{42 x ^{3}}{42} = \frac{1}{42}

Divide the numbers

x^{3} = \frac{1}{42}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{1}{42}

Calculate

x = 3 \frac{1}{42}

Solution

More Steps

Evaluate

3 \frac{1}{42}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 42}

Simplify the radical expression

\frac{1}{3 42}

Multiply by the Conjugate

\frac{3 4 2 ^{2}}{3 42 \times 3 4 2 ^{2}}

Simplify

\frac{3 1764}{3 42 \times 3 4 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

342 \times 3 4 2^{2}

The product of roots with the same index is equal to the root of the product

3 42 \times 4 2^{2}

Calculate the product

3 4 2^{3}

Reduce the index of the radical and exponent with 3

42

\frac{3 1764}{42}

x = \frac{3 1764}{42}

Alternative Form

x \approx 0.287685

Show Solution